{"id":"https://openalex.org/W2010315591","doi":"https://doi.org/10.1137/0153082","title":"Inverse Eigenvalue Problem for a Modified Vibrating System","display_name":"Inverse Eigenvalue Problem for a Modified Vibrating System","publication_year":1993,"publication_date":"1993-12-01","ids":{"openalex":"https://openalex.org/W2010315591","doi":"https://doi.org/10.1137/0153082","mag":"2010315591"},"language":"en","primary_location":{"id":"doi:10.1137/0153082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153082","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111823962","display_name":"Yitshak M. Ram","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yitshak M. Ram","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111823962"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3598,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.76975445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"6","first_page":"1762","last_page":"1775"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8426136374473572},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6732581853866577},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6650458574295044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5984700918197632},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5944105386734009},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5579041242599487},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5264003276824951},{"id":"https://openalex.org/keywords/mass-matrix","display_name":"Mass matrix","score":0.5219345092773438},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5179430842399597},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37651365995407104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24339526891708374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17325395345687866},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12702786922454834}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8426136374473572},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6732581853866577},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6650458574295044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5984700918197632},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5944105386734009},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5579041242599487},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5264003276824951},{"id":"https://openalex.org/C135585149","wikidata":"https://www.wikidata.org/wiki/Q339704","display_name":"Mass matrix","level":3,"score":0.5219345092773438},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5179430842399597},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37651365995407104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24339526891708374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17325395345687866},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12702786922454834},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0153082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153082","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1970376871","https://openalex.org/W1978894946","https://openalex.org/W2014468621","https://openalex.org/W2033391697","https://openalex.org/W4302558404"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006","https://openalex.org/W2281582664","https://openalex.org/W2554039769","https://openalex.org/W2806574890"],"abstract_inverted_index":{"Let":[0],"$(":[1,33,56],"\\lambda":[2,57,125,142],"_i":[3,35,58,62,126,143],")_1^n":[4,36,59,63],"$":[5,37,127],"be":[6,38],"the":[7,29,39,42,49,53,83,94,102,135,157],"eigenvalues":[8,40],"of":[9,20,41,47,52,82,104,150],"a":[10,17,73,89,105,147],"simply":[11],"connected":[12],"mass-spring":[13],"system.":[14,44,95],"Suppose":[15],"that":[16],"simple":[18],"oscillator":[19],"mass":[21,111],"m":[22,66],"and":[23,31,65,98,112,122],"stiffness":[24],"k":[25],"is":[26,67,70,91,137,153],"attached":[27],"to":[28,93],"system":[30,54,108],"let":[32],"\\mu":[34,61],"modified":[43],"The":[45,77,96],"problem":[46,69],"constructing":[48],"physical":[50],"elements":[51,114],"from":[55],",(":[60],",k$,":[64],"considered.This":[68],"associated":[71],"with":[72,109],"rank-two":[74],"modification":[75,85],"matrix.":[76],"analysis":[78],"generalizes":[79],"known":[80],"results":[81],"rank-one":[84],"problem,":[86],"where":[87],"only":[88],"spring":[90,113],"added":[92],"necessary":[97],"sufficient":[99],"conditions":[100,119],"for":[101,128],"construction":[103,136],"physically":[106],"realizable":[107],"positive":[110],"are":[115,120],"established.":[116],"If":[117],"these":[118],"satisfied":[121],"$k/m":[123,140],"\\ne":[124],"$i":[129],"=":[130,141],"1,2,":[131],"\\ldots":[132],",n$,":[133],"then":[134],"unique.":[138],"When":[139],"$,":[144],"there":[145],"exists":[146],"continuous":[148],"family":[149],"solutions,":[151],"which":[152],"also":[154],"characterized":[155],"in":[156],"paper.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
